Reconstruction of polar magnetic field from single axis tomography of Faraday rotation in plasmas

A. Flacco; J. -M. Rax; V. Malka

doi:https://doi.org/10.1063/1.4759158

Reconstruction of polar magnetic field from single axis tomography of Faraday rotation in plasmas

A. Flacco, J. -M. Rax, V. Malka

Department of Physics of Complex Systems

Weizmann Institute of Science

Research output: Contribution to journal › Article › peer-review

Abstract

An integral back-transform has been developed to retrieve the polar magnetic component in a cylindrically symmetric plasma from a single projection. The formula is derived from parallel forward Radon transform (Abel transform) of a source-free vector field. Two numerical schemes are proposed to solve the backward transform. These schemes have been tested successfully with predefined plasma parameters. The practical application to the analysis of experimental Faraday rotation measurements is also presented, leading to the reconstruction of the transverse profile of the magnetic field.

Original language	English
Article number	103107
Number of pages	4
Journal	Physics of Plasmas
Volume	19
Issue number	10
DOIs	https://doi.org/10.1063/1.4759158
State	Published Online - 17 Oct 2012

All Science Journal Classification (ASJC) codes

Condensed Matter Physics

Access to Document

https://doi.org/10.1063/1.4759158

Cite this

@article{1496d27ee15a44d09eb28286ac161834,

title = "Reconstruction of polar magnetic field from single axis tomography of Faraday rotation in plasmas",

abstract = "An integral back-transform has been developed to retrieve the polar magnetic component in a cylindrically symmetric plasma from a single projection. The formula is derived from parallel forward Radon transform (Abel transform) of a source-free vector field. Two numerical schemes are proposed to solve the backward transform. These schemes have been tested successfully with predefined plasma parameters. The practical application to the analysis of experimental Faraday rotation measurements is also presented, leading to the reconstruction of the transverse profile of the magnetic field. ",

author = "A. Flacco and Rax, {J. -M.} and V. Malka",

year = "2012",

month = oct,

day = "17",

doi = "https://doi.org/10.1063/1.4759158",

language = "الإنجليزيّة",

volume = "19",

journal = "Physics of Plasmas",

issn = "1070-664X",

publisher = "American Institute of Physics",

number = "10",

}

TY - JOUR

T1 - Reconstruction of polar magnetic field from single axis tomography of Faraday rotation in plasmas

AU - Flacco, A.

AU - Rax, J. -M.

AU - Malka, V.

PY - 2012/10/17

Y1 - 2012/10/17

N2 - An integral back-transform has been developed to retrieve the polar magnetic component in a cylindrically symmetric plasma from a single projection. The formula is derived from parallel forward Radon transform (Abel transform) of a source-free vector field. Two numerical schemes are proposed to solve the backward transform. These schemes have been tested successfully with predefined plasma parameters. The practical application to the analysis of experimental Faraday rotation measurements is also presented, leading to the reconstruction of the transverse profile of the magnetic field.

AB - An integral back-transform has been developed to retrieve the polar magnetic component in a cylindrically symmetric plasma from a single projection. The formula is derived from parallel forward Radon transform (Abel transform) of a source-free vector field. Two numerical schemes are proposed to solve the backward transform. These schemes have been tested successfully with predefined plasma parameters. The practical application to the analysis of experimental Faraday rotation measurements is also presented, leading to the reconstruction of the transverse profile of the magnetic field.

UR - http://www.scopus.com/inward/record.url?scp=84868338334&partnerID=8YFLogxK

U2 - https://doi.org/10.1063/1.4759158

DO - https://doi.org/10.1063/1.4759158

M3 - مقالة

SN - 1070-664X

VL - 19

JO - Physics of Plasmas

JF - Physics of Plasmas

IS - 10

M1 - 103107

ER -

Reconstruction of polar magnetic field from single axis tomography of Faraday rotation in plasmas

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this